体積力法によるanticrackの解析における特異積分方程式の数値解法

概要

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It is known that each stress component is intensified at the tips of an anticrack (rigid line inclusion) as well as a crack, proportionally to γ^-1/2. This paper deals with the numerical method of the singular integral equations of the Cauchy type for the analysis of stress-singularities at anticrack tips by using the body force method. In the singular integral equations, the densities of the body forces which should be distributed along the anticrack surfaces are to be obtained so that the boundary conditions on the anticrack surfaces can be satisfied. The numerical method of the singular integral equations is based on the Lobatto-Chebyshev integration formula. In order to demonstrate the effectiveness of the proposed method, some numerical examples are given. The calculated stresssingularities at anticrack tips converge very fast with the increase of the number of the collocation points and some of them are compared with the exact solutions in order to verify the accuracy.
2002-05-25